Sound waves and vortices in a polarized relativistic fluid

FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQWe extend the effective theory approach to the ideal fluid limit where the polarization of the fluid is nonzero. After describing and motivating the equations of motion [1], we expand them around the hydrostatic limit, obtaining the sound wave and vortex degrees of freedom. We discuss how the presence of polarization affects the stability and causality of the ideal fluid limit.96716FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ2017/06508-7147435/2014-5301996/2014-8464898/2014-5G. T. acknowledges support from FAPESP Proc. No. 2017/06508-7 and CNPQ bolsa de produtividade No. 301996/2014-8. L. T. was supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award No. DE-SC0004286 and Polish National Science Center Grant No. DEC-2012/06/A/ST2/00390. D. M. received support from the CNPQ Graduate Fellowship No. 147435/2014-5. Parts of this work were done when L. T. visited Campinas with support received from FAEPEX Fellowship No. 2020/16, as well as when G. T. participated in the INT workshop Exploring the QCD Phase Diagram through Energy Scans. We thank FAEPEX and the INT organizers for the support provided. We wish to thank Miklos Gyulassy for enlightening discussions which posed the conceptual challenges that eventually led to this work, and Mike Lisa for showing us experimental literature and useful discussions. This work is a part of the project INCT-FNA Proc. No. 464898/2014-5